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Finding the Third Proportional to 54,009 and 85,451

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Solution

The third proportional to 54,009 and 85,451 is: 135,197.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,009 : 85,451 = 85,451 : x
  2. Step 2: Convert to fraction form
    54,009/85,451 = 85,451/x
  3. Step 3: Cross multiply
    54,009x = 85,451 × 85,451
  4. Step 4: Simplify right side
    54,009x = 7,301,873,401
  5. Step 5: Solve for x
    x = 7,301,873,401/54,009
  6. Step 6: Final answer
    x = 135,197.34

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.